Amalgamation of types in pseudo-algebraically closed fields and\n applications

2017/04/26 by Zoé Chatzidakis, Chatzidakis, Zoe
Mathematics · #03C45 #03C60 #Advanced Topology and Set Theory #Algebraic Geometry and Number Theory #FOS: Mathematics #Logic (math.LO) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.1704.08132

openalex publication_date 2017/04/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

This paper studies unbounded PAC fields and shows an amalgamation result for\ntypes over algebraically closed sets. It discusses various applications, for\ninstance that omega-free PAC fields have the property NSOP3. It also contains a\ndescription of imaginaries in PAC fields.\n

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